How can the volume of a hemisphere be found?

The volume of a hemisphere can be found by halving the volume of the complete sphere .

How can the volume of a frustum be found?

The volume of a frustum is the volume of the larger cone/pyramid minus the volume of the smaller cone/pyramid that has been 'cut off'.

True or False? The surface area of a hemisphere comprises the surface area of a sphere and the area of a circle of the same radius .

False. The surface area of a hemisphere comprises half the surface area of a sphere, and the area of a circle of the same radius .

True or False? The surface area of a cuboid consists of three pairs of equal rectangles .

True. The surface area of a cuboid consists of three pairs of equal rectangles .

True or False? The net of a cylinder consists of two circles and a rectangle .

True. The net of a cylinder consists of two circles and a rectangle .

GCSEMathsAQAHigherFlashcards4. Geometry & MeasuresVolume & Surface Area

Volume & Surface Area (AQA GCSE Maths)

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FrontVolume
What is the formula for the volume of a cuboid?
BackVolume
The formula for the volume of a cuboid is $V = l \times w \times h$
Where:
$V =$ volume
$l =$ length
$w =$ width
$h =$ height
FrontVolume
What is the formula for the volume of a cylinder?
BackVolume
The formula for the volume of a cylinder is $V = π r^{2} h$
Where:
$V =$ volume
$r =$ radius
$h =$ height
FrontVolume
What is the formula for the volume of a cone?
BackVolume
The formula for the volume of a cone is $V = \frac{1}{3} π r^{2} h$
Where:
$V =$ volume
$r =$ radius
$h =$ perpendicular height

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Cards in this collection (16)

What is the formula for the volume of a cuboid?
The formula for the volume of a cuboid is $V = l \times w \times h$
Where:
- $V =$ volume
- $l =$ length
- $w =$ width
- $h =$ height
What is the formula for the volume of a cylinder?
The formula for the volume of a cylinder is $V = π r^{2} h$
Where:
- $V =$ volume
- $r =$ radius
- $h =$ height
What is the formula for the volume of a cone?
The formula for the volume of a cone is $V = \frac{1}{3} π r^{2} h$
Where:
- $V =$ volume
- $r =$ radius
- $h =$ perpendicular height
What is the formula for the volume of a sphere?
The formula for the volume of a sphere is $V = \frac{4}{3} π r^{3}$
Where:
- $V =$ volume
- $r =$ radius
What is the formula for the volume of a pyramid?
The formula for the volume of a pyramid is $V = \frac{1}{3} A h$
Where:
- $V =$ volume
- $A =$ area of the base
- $h =$ perpendicular height of the pyramid
What is the formula for the volume of a prism?
The formula for the volume of a prism is $V = A l$
Where:
- $V =$ volume
- $A =$ cross-sectional area
- $l =$ length
What is a frustum?
A frustum is a truncated (chopped-off) cone or pyramid.
E.g.
How can the volume of a hemisphere be found?
The volume of a hemisphere can be found by halving the volume of the complete sphere.
How can the volume of a frustum be found?
The volume of a frustum is the volume of the larger cone/pyramid minus the volume of the smaller cone/pyramid that has been 'cut off'.
What is the formula for the surface area of a cylinder?
The formula for the surface area of a cylinder is $A = 2 π r^{2} + 2 π r h$
Where:
- $A =$ surface area
- $r =$ radius
- $h =$ height
True or False?
The formula for the curved surface area of a cone is $A = π r l + π r^{2}$
Where:
- $A =$ surface area
- $r =$ radius
- $l =$ slant height
False.
$A = π r l + π r^{2}$ is the total surface area of a cone.
The formula for the curved surface area of a cone is $A = π r l$
Where:
- $A =$ surface area
- $r =$ radius
- $l =$ slant height
( $π r^{2}$ is the area of the circular base of the cone.)
What is the formula for the surface area of a sphere?
The formula for the surface area of a sphere is $A = 4 π r^{2}$
Where:
- $A =$ surface area
- $r =$ radius
True or False?
The surface area of a hemisphere comprises the surface area of a sphere and the area of a circle of the same radius.
False.
The surface area of a hemisphere comprises half the surface area of a sphere, and the area of a circle of the same radius.
True or False?
The surface area of a cuboid consists of three pairs of equal rectangles.
True.
The surface area of a cuboid consists of three pairs of equal rectangles.
What is the formula for the total surface area of a cone?
The formula for the total surface area of a cone is $A = π r^{2} + π r l$
Where:
- $A =$ surface area
- $r =$ radius
- $l =$ slant height
True or False?
The net of a cylinder consists of two circles and a rectangle.
True.
The net of a cylinder consists of two circles and a rectangle.

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